This article is cited in 8 papers

Minimization of the Uncertainty Constant of the Family of Meyer Wavelets

E. A. Lebedeva

Kursk State University

Abstract: We obtain a simplified expression for the uncertainty constant of a Meyer wavelet. Using this expression, we find the lower bound of the uncertainty constant and construct the Ritz minimizing sequence.

Keywords: Meyer wavelet, Ritz minimizing sequence, uncertainty constant, spline, Fourier transform, Cauchy–Bunyakovskii inequality, Heisenberg uncertainty principle.

UDC: 517.98

Received: 23.09.2005
Revised: 28.04.2006

DOI: 10.4213/mzm3698

 English version: Mathematical Notes, 2007, 81:4, 489–495

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